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JulijaS [17]
3 years ago
13

(URGENT) Can someone help me find x, I’ve gotten it wrong twice.

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Answer:

  x = 24.10

Step-by-step explanation:

The given sides of the triangle are the hypotenuse (x) and a side of length 20 that is adjacent to the 34° angle and opposite the 56° angle.

The mnemonic SOH CAH TOA reminds you of relationships between the <em>hypotenuse</em> and <em>adjacent</em> or <em>opposite</em> sides:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If we want to use the "adjacent" side, we would choose ...

  cos(34°) = 20/x

  x = 20/cos(34°) ≈ 20/0.83 ≈ 24.10 . . . . . rounding according to instructions

__

If we want to use the "opposite" side, we would choose ...

  sin(56°) = 20/x

  x = 20/sin(56°) ≈ 20/0.83 ≈ 24.10 . . . . . rounding according to instructions

_____

<em>Comment on rounding</em>

If you round correctly (only at the last step), the proper answer is 24.12.

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The correct justification for the first step in solving the provided equation is that the first step should be distributive Property

<h3>What is the property of equality?</h3>

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The equation given in the problem is,

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Solution:

<u>We know that:</u>

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<u>Solution:</u>

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